M009 Algebra II

Faculty of Informatics
Spring 1999
Extent and Intensity
2/0. 2 credit(s). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
Teacher(s)
doc. RNDr. Libor Polák, CSc. (lecturer)
Guaranteed by
Contact Person: doc. RNDr. Libor Polák, CSc.
Prerequisites
M005 Set Theory I && M008 Algebra I
Prerequisites M005 Foundations of mathematics and M008 Algebra I
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Syllabus
  • Rings and polynomials (ideals, factorrings, fields, skewfields, extensions, finite fields, symmetric polynomials).
  • Lattices (semilattices and lattices - two approaches, modular and distributive lattices, Boolean lattices, representation of finite distributive and Boolean lattices).
  • Universal algebra (subalgebras, homomorphisms, congruences and factoralgebras, products, subdirect products and corresponding decomposition, terms, varieties, free algebras, Birkhoff's theorem, word problems, heterogeneous algebras and coalgebras, applications in theoretical computer science).
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
Teacher's information
http://www.math.muni.cz/~polak
The course is also listed under the following terms Spring 1996, Spring 1997, Spring 1998, Spring 2000, Spring 2001, Spring 2002.
  • Enrolment Statistics (Spring 1999, recent)
  • Permalink: https://is.muni.cz/course/fi/spring1999/M009